64409940000 has 1440 divisors, whose sum is σ = 288850738176. Its totient is φ = 13271040000.

The previous prime is 64409939989. The next prime is 64409940061. The reversal of 64409940000 is 4990446.

64409940000 is a `hidden beast` number, since 644 + 0 + 9 + 9 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 664019952 + ... + 664020048.

Almost surely, 2^64409940000 is an apocalyptic number.

64409940000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64409940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144425369088).

64409940000 is an abundant number, since it is smaller than the sum of its proper divisors (224440798176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64409940000 is a wasteful number, since it uses less digits than its factorization.

64409940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 64409940000 in words is "sixty-four billion, four hundred nine million, nine hundred forty thousand".